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Finding the Third Proportional to 57,012.19 and 89,434.13

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Solution

The third proportional to 57,012.19 and 89,434.13 is: 140,293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,012.19 : 89,434.13 = 89,434.13 : x
  2. Step 2: Convert to fraction form
    57,012.19/89,434.13 = 89,434.13/x
  3. Step 3: Cross multiply
    57,012.19x = 89,434.13 × 89,434.13
  4. Step 4: Simplify right side
    57,012.19x = 7,998,462,714.52
  5. Step 5: Solve for x
    x = 7,998,462,714.52/57,012.19
  6. Step 6: Final answer
    x = 140,293.91

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.